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Finding the Fourth Proportional to 9,109.43, 12,576.82 and 7,434.83

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Solution

The fourth proportional to 9,109.43, 12,576.82 and 7,434.83 is: 10,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.43 : 12,576.82 = 7,434.83 : x
  2. Step 2: Convert to fraction form
    9,109.43/12,576.82 = 7,434.83/x
  3. Step 3: Cross multiply
    9,109.43x = 12,576.82 × 7,434.83
  4. Step 4: Simplify right side
    9,109.43x = 93,506,531.50
  5. Step 5: Solve for x
    x = 93,506,531.50/9,109.43
  6. Step 6: Final answer
    x = 10,264.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.